Live analysis

470,020

470,020 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

470,020 (four hundred seventy thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 71 × 331. Its proper divisors sum to 533,948, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72C04.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

470,008 470,009 470,010 470,011 470,012 470,013 470,014 470,015 470,016 470,017 470,018 470,019 470,020 470,021 470,022 470,023 470,024 470,025 470,026 470,027 470,028 470,029 470,030 470,031 470,032

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 20,074
Square (n²): 220,918,800,400
Cube (n³): 103,836,254,564,008,000
Divisor count: 24
σ(n) — sum of divisors: 1,003,968
φ(n) — Euler's totient: 184,800
Sum of prime factors: 411

Primality

Prime factorization: 2 ² × 5 × 71 × 331

Nearest primes: 469,993 (−27) · 470,021 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 71 · 142 · 284 · 331 · 355 · 662 · 710 · 1324 · 1420 · 1655 · 3310 · 6620 · 23501 · 47002 · 94004 · 117505 · 235010 (half) · 470020

Aliquot sum (sum of proper divisors): 533,948

Factor pairs (a × b = 470,020)

1 × 470020

2 × 235010

4 × 117505

5 × 94004

10 × 47002

20 × 23501

71 × 6620

142 × 3310

284 × 1655

331 × 1420

355 × 1324

662 × 710

First multiples

470,020 · 940,040 (double) · 1,410,060 · 1,880,080 · 2,350,100 · 2,820,120 · 3,290,140 · 3,760,160 · 4,230,180 · 4,700,200

Sums & aliquot sequence

As consecutive integers: 94,002 + 94,003 + 94,004 + 94,005 + 94,006 58,749 + 58,750 + … + 58,756 11,731 + 11,732 + … + 11,770 6,585 + 6,586 + … + 6,655

Aliquot sequence: 470,020 → 533,948 → 432,892 → 324,676 → 312,380 → 343,660 → 378,068 → 297,964 → 227,820 → 410,244 → 603,804 → 828,004 → 627,800 → 886,240 → 1,291,040 → 1,759,420 → 2,318,948 — unresolved within range

Continued fraction of √n

√470,020 = [685; (1, 1, 2, 1, 1, 1, 1, 1, 8, 274, 8, 1, 1, 1, 1, 1, 2, 1, 1, 1370)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy thousand twenty
Ordinal: 470020th
Binary: 1110010110000000100
Octal: 1626004
Hexadecimal: 0x72C04
Base64: BywE
One's complement: 4,294,497,275 (32-bit)
Scientific notation: 4.7002 × 10⁵
As a duration: 470,020 s = 5 days, 10 hours, 33 minutes, 40 seconds

In other bases

ternary (3) 212212202011

quaternary (4) 1302300010

quinary (5) 110020040

senary (6) 14024004

septenary (7) 3665215

nonary (9) 785664

undecimal (11) 2a1151

duodecimal (12) 1a8004

tridecimal (13) 135c25

tetradecimal (14) c340c

pentadecimal (15) 943ea

As an angle

470,020° = 1,305 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆
Greek (Milesian): ͵υοκʹ
Chinese: 四十七萬零二十
Chinese (financial): 肆拾柒萬零貳拾

In other modern scripts

Eastern Arabic ٤٧٠٠٢٠ Devanagari ४७००२० Bengali ৪৭০০২০ Tamil ௪௭௦௦௨௦ Thai ๔๗๐๐๒๐ Tibetan ༤༧༠༠༢༠ Khmer ៤៧០០២០ Lao ໔໗໐໐໒໐ Burmese ၄၇၀၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470020, here are decompositions:

41 + 469979 = 470020
101 + 469919 = 470020
113 + 469907 = 470020
179 + 469841 = 470020
197 + 469823 = 470020
227 + 469793 = 470020
233 + 469787 = 470020
251 + 469769 = 470020

Showing the first eight; more decompositions exist.

Hex color

#072C04

RGB(7, 44, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.4.

Address: 0.7.44.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.44.4

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 470,020 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US470,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470020 first appears in π at position 453,597 of the decimal expansion (the 453,597ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 470020 on Pi Search ↗